Quantitative Methods

Solve by iteration method:

(i) x^3 - 2 x^2 − 5=0

(i) x^3 - 2 x^2 − 5=0

Quantitative Methods

Solve by iteration method:

(i) sinx = x+1/x-1

(i) sinx = x+1/x-1

Quantitative Methods

Solve by iteration method:

(i) 1+logx=x

(i) 1+logx=x

Quantitative Methods

Use Mu ̈ller’s method to determine the real and complex roots of

f (x) = x^4 − 2x^3 + 6x^2 − 2x + 5

f (x) = x^4 − 2x^3 + 6x^2 − 2x + 5

Quantitative Methods

Use Mu ̈ller’s method to determine the real and complex roots of

f(x)=2x^4 + 6x^2 + 8

f(x)=2x^4 + 6x^2 + 8

Quantitative Methods

Use Mu ̈ller’s method to determine the real and complex roots of

f (x) = x^3− x^2 + 2x − 2

f (x) = x^3− x^2 + 2x − 2

Quantitative Methods

2 Find the root of the equation xex = cosx in the interval (0, 1) using

Regula-Falsi method correct to four decimal places.

Regula-Falsi method correct to four decimal places.

Quantitative Methods

1 Find a real root of the equation 3x + sinx − e

x = 0 by the method of

false position correct to four decimal places.

x = 0 by the method of

false position correct to four decimal places.

Quantitative Methods

find the roots using simple fixed iteration. Stop until at 15th iteration or when approximate percent relative error is below 0.05%.

2x^4+13x^3+29x^2+27x+9=0

2x^4+13x^3+29x^2+27x+9=0

Quantitative Methods

find the roots using newton raphson. Stop until at 15th iteration or when approximate percent relative error is below 0.05%.

2x^4+13x^3+29x^2+27x+9=0

2x^4+13x^3+29x^2+27x+9=0